☆ 4.7 Article

Gravitational instantons and fluxes from M/F-theory on Calabi-Yau fourfolds

PHYSICAL REVIEW D (2012)

Journal

PHYSICAL REVIEW D

Volume 85, Issue 2, Pages -

Publisher

AMER PHYSICAL SOC

DOI: 10.1103/PhysRevD.85.026003

Keywords

-

Categories

Astronomy & Astrophysics Physics, Particles & Fields

Funding

Simons Center, Massachusetts Institute of Technology
Kavli Institute for Theoretical Physics, China
Hong Kong University of Science and Technology
Max Planck Society

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Abstract

We compactify four-dimensional N = 1 gauged supergravity theories on a circle including fluxes for shift-symmetric scalars. Four-dimensional Taub-NUT gravitational instantons universally correct the three-dimensional superpotential in the absence of fluxes. In the presence of fluxes these Taub-NUT instanton contributions are no longer gauge-invariant. Invariance can be restored by gauge-instantons on top of Taub-NUT instantons. We establish the embedding of this scenario into M-theory. Circle fluxes and gaugings arise from a restricted class of M-theory four-form fluxes on a resolved Calabi-Yau fourfold. The M5-brane on the base of the elliptic fourfold dualizes into the universal Taub-NUT instanton. In the presence of fluxes this M5-brane is anomalous. We argue that anomaly-free contributions arise from involved M5-brane geometries dual to gauge-instantons on top of Taub-NUT instantons. Adding a four-dimensional superpotential to the gravitational instanton corrections leads to three-dimensional Anti-de Sitter vacua at stabilized compactification radius. We comment on the possibility to uplift these M-theory vacua, and to tunnel to four-dimensional F-theory vacua.

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